In a recent paper, Castellanos-Jaramillo and Castellanos-Moreno proposed a simple quantum-mechanical model for an electron in the vicinity of an ionized nanostructure with a permanent electric dipole. They chose the interaction of the electron with the charge and the dipole in such a way that the resulting Schrödinger equation is separable into radial and angular parts. In this comment, we show that those authors did not solve the angular eigenvalue equation with proper periodic boundary conditions and that they also made a mistake in the elimination of the first derivative in the radial equation. Such errors invalidate their results of the Einstein coefficients for the \(\left (GaAs\right )_{3}\) system considered.

在最近的一篇论文中，Castellanos-Jaramillo和Castellanos-Moreno提出了一个具有永久电偶极子的电离纳米结构附近的电子的简单量子力学模型。他们选择了电子与电荷和偶极子的相互作用，以使所得的薛定er方程可分为径向部分和角部分。在这篇评论中，我们表明这些作者没有用适当的周期性边界条件来求解角特征值方程，并且他们在消除径向方程中的一阶导数上也犯了一个错误。对于所考虑的\（\ left（GaAs \ right）_ {3} \）系统，此类错误会使爱因斯坦系数的结果无效。